1452118991521 has 45 divisors (see below), whose sum is σ = 1673654452995. Its totient is φ = 1259795972160.

The previous prime is 1452118991497. The next prime is 1452118991537. The reversal of 1452118991521 is 1251998112541.

The square root of 1452118991521 is 1205039.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 162840496225 + 1289278495296 = 403535^2 + 1135464^2 .

It is not a de Polignac number, because 1452118991521 - 2¹¹ = 1452118989473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1452118991551) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3353623321 + ... + 3353623753.

Almost surely, 2^{1452118991521} is an apocalyptic number.

1452118991521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1452118991521 is the 1205039-th square number.

1452118991521 is the 602520-th centered octagonal number.

It is an amenable number.

1452118991521 is a deficient number, since it is larger than the sum of its proper divisors (221535461474).

1452118991521 is an frugal number, since it uses more digits than its factorization.

1452118991521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 467 counting only the distinct ones).

The product of its digits is 259200, while the sum is 49.

Multiplying 1452118991521 by its sum of digits (49), we get a square (71153830584529 = 8435273²).

The spelling of 1452118991521 in words is "one trillion, four hundred fifty-two billion, one hundred eighteen million, nine hundred ninety-one thousand, five hundred twenty-one".